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Simplifying 4 + 3(p + 2) = 4(p + -2) + -7p Reorder the terms: 4 + 3(2 + p) = 4(p + -2) + -7p 4 + (2 * 3 + p * 3) = 4(p + -2) + -7p 4 + (6 + 3p) = 4(p + -2) + -7p Combine like terms: 4 + 6 = 10 10 + 3p = 4(p + -2) + -7p Reorder the terms: 10 + 3p = 4(-2 + p) + -7p 10 + 3p = (-2 * 4 + p * 4) + -7p 10 + 3p = (-8 + 4p) + -7p Combine like terms: 4p + -7p = -3p 10 + 3p = -8 + -3p Solving 10 + 3p = -8 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 10 + 3p + 3p = -8 + -3p + 3p Combine like terms: 3p + 3p = 6p 10 + 6p = -8 + -3p + 3p Combine like terms: -3p + 3p = 0 10 + 6p = -8 + 0 10 + 6p = -8 Add '-10' to each side of the equation. 10 + -10 + 6p = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 6p = -8 + -10 6p = -8 + -10 Combine like terms: -8 + -10 = -18 6p = -18 Divide each side by '6'. p = -3 Simplifying p = -3
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