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Simplifying 3(p + -4) + -4(2 + -7p) = 6p + 5 Reorder the terms: 3(-4 + p) + -4(2 + -7p) = 6p + 5 (-4 * 3 + p * 3) + -4(2 + -7p) = 6p + 5 (-12 + 3p) + -4(2 + -7p) = 6p + 5 -12 + 3p + (2 * -4 + -7p * -4) = 6p + 5 -12 + 3p + (-8 + 28p) = 6p + 5 Reorder the terms: -12 + -8 + 3p + 28p = 6p + 5 Combine like terms: -12 + -8 = -20 -20 + 3p + 28p = 6p + 5 Combine like terms: 3p + 28p = 31p -20 + 31p = 6p + 5 Reorder the terms: -20 + 31p = 5 + 6p Solving -20 + 31p = 5 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -20 + 31p + -6p = 5 + 6p + -6p Combine like terms: 31p + -6p = 25p -20 + 25p = 5 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + 25p = 5 + 0 -20 + 25p = 5 Add '20' to each side of the equation. -20 + 20 + 25p = 5 + 20 Combine like terms: -20 + 20 = 0 0 + 25p = 5 + 20 25p = 5 + 20 Combine like terms: 5 + 20 = 25 25p = 25 Divide each side by '25'. p = 1 Simplifying p = 1
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