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Simplifying -29p + -6(3 + -6p) = 4(p + -2) + -7 -29p + (3 * -6 + -6p * -6) = 4(p + -2) + -7 -29p + (-18 + 36p) = 4(p + -2) + -7 Reorder the terms: -18 + -29p + 36p = 4(p + -2) + -7 Combine like terms: -29p + 36p = 7p -18 + 7p = 4(p + -2) + -7 Reorder the terms: -18 + 7p = 4(-2 + p) + -7 -18 + 7p = (-2 * 4 + p * 4) + -7 -18 + 7p = (-8 + 4p) + -7 Reorder the terms: -18 + 7p = -8 + -7 + 4p Combine like terms: -8 + -7 = -15 -18 + 7p = -15 + 4p Solving -18 + 7p = -15 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -18 + 7p + -4p = -15 + 4p + -4p Combine like terms: 7p + -4p = 3p -18 + 3p = -15 + 4p + -4p Combine like terms: 4p + -4p = 0 -18 + 3p = -15 + 0 -18 + 3p = -15 Add '18' to each side of the equation. -18 + 18 + 3p = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 3p = -15 + 18 3p = -15 + 18 Combine like terms: -15 + 18 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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