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Simplifying -32 + -4p = 6(p + -7) Reorder the terms: -32 + -4p = 6(-7 + p) -32 + -4p = (-7 * 6 + p * 6) -32 + -4p = (-42 + 6p) Solving -32 + -4p = -42 + 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. -32 + -4p + -6p = -42 + 6p + -6p Combine like terms: -4p + -6p = -10p -32 + -10p = -42 + 6p + -6p Combine like terms: 6p + -6p = 0 -32 + -10p = -42 + 0 -32 + -10p = -42 Add '32' to each side of the equation. -32 + 32 + -10p = -42 + 32 Combine like terms: -32 + 32 = 0 0 + -10p = -42 + 32 -10p = -42 + 32 Combine like terms: -42 + 32 = -10 -10p = -10 Divide each side by '-10'. p = 1 Simplifying p = 1
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