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Simplifying -6pt + 7 = 3(2p + -3) + -4(-10 + 4p) Reorder the terms: 7 + -6pt = 3(2p + -3) + -4(-10 + 4p) Reorder the terms: 7 + -6pt = 3(-3 + 2p) + -4(-10 + 4p) 7 + -6pt = (-3 * 3 + 2p * 3) + -4(-10 + 4p) 7 + -6pt = (-9 + 6p) + -4(-10 + 4p) 7 + -6pt = -9 + 6p + (-10 * -4 + 4p * -4) 7 + -6pt = -9 + 6p + (40 + -16p) Reorder the terms: 7 + -6pt = -9 + 40 + 6p + -16p Combine like terms: -9 + 40 = 31 7 + -6pt = 31 + 6p + -16p Combine like terms: 6p + -16p = -10p 7 + -6pt = 31 + -10p Solving 7 + -6pt = 31 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 7 + 10p + -6pt = 31 + -10p + 10p Combine like terms: -10p + 10p = 0 7 + 10p + -6pt = 31 + 0 7 + 10p + -6pt = 31 Add '-7' to each side of the equation. 7 + 10p + -7 + -6pt = 31 + -7 Reorder the terms: 7 + -7 + 10p + -6pt = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 10p + -6pt = 31 + -7 10p + -6pt = 31 + -7 Combine like terms: 31 + -7 = 24 10p + -6pt = 24 Reorder the terms: -24 + 10p + -6pt = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 10p + -6pt = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 5p + -3pt) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + 5p + -3pt)' equal to zero and attempt to solve: Simplifying -12 + 5p + -3pt = 0 Solving -12 + 5p + -3pt = 0 Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 5p + 12 + -3pt = 0 + 12 Reorder the terms: -12 + 12 + 5p + -3pt = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5p + -3pt = 0 + 12 5p + -3pt = 0 + 12 Combine like terms: 0 + 12 = 12 5p + -3pt = 12 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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