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Simplifying -5p + -12 + 10 = -6(p + -7) + -6(p + 12) Reorder the terms: -12 + 10 + -5p = -6(p + -7) + -6(p + 12) Combine like terms: -12 + 10 = -2 -2 + -5p = -6(p + -7) + -6(p + 12) Reorder the terms: -2 + -5p = -6(-7 + p) + -6(p + 12) -2 + -5p = (-7 * -6 + p * -6) + -6(p + 12) -2 + -5p = (42 + -6p) + -6(p + 12) Reorder the terms: -2 + -5p = 42 + -6p + -6(12 + p) -2 + -5p = 42 + -6p + (12 * -6 + p * -6) -2 + -5p = 42 + -6p + (-72 + -6p) Reorder the terms: -2 + -5p = 42 + -72 + -6p + -6p Combine like terms: 42 + -72 = -30 -2 + -5p = -30 + -6p + -6p Combine like terms: -6p + -6p = -12p -2 + -5p = -30 + -12p Solving -2 + -5p = -30 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. -2 + -5p + 12p = -30 + -12p + 12p Combine like terms: -5p + 12p = 7p -2 + 7p = -30 + -12p + 12p Combine like terms: -12p + 12p = 0 -2 + 7p = -30 + 0 -2 + 7p = -30 Add '2' to each side of the equation. -2 + 2 + 7p = -30 + 2 Combine like terms: -2 + 2 = 0 0 + 7p = -30 + 2 7p = -30 + 2 Combine like terms: -30 + 2 = -28 7p = -28 Divide each side by '7'. p = -4 Simplifying p = -4
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