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Simplifying -7p + -3 = -6(5p + -10) + 4(-3 + 6p) Reorder the terms: -3 + -7p = -6(5p + -10) + 4(-3 + 6p) Reorder the terms: -3 + -7p = -6(-10 + 5p) + 4(-3 + 6p) -3 + -7p = (-10 * -6 + 5p * -6) + 4(-3 + 6p) -3 + -7p = (60 + -30p) + 4(-3 + 6p) -3 + -7p = 60 + -30p + (-3 * 4 + 6p * 4) -3 + -7p = 60 + -30p + (-12 + 24p) Reorder the terms: -3 + -7p = 60 + -12 + -30p + 24p Combine like terms: 60 + -12 = 48 -3 + -7p = 48 + -30p + 24p Combine like terms: -30p + 24p = -6p -3 + -7p = 48 + -6p Solving -3 + -7p = 48 + -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. -3 + -7p + 6p = 48 + -6p + 6p Combine like terms: -7p + 6p = -1p -3 + -1p = 48 + -6p + 6p Combine like terms: -6p + 6p = 0 -3 + -1p = 48 + 0 -3 + -1p = 48 Add '3' to each side of the equation. -3 + 3 + -1p = 48 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = 48 + 3 -1p = 48 + 3 Combine like terms: 48 + 3 = 51 -1p = 51 Divide each side by '-1'. p = -51 Simplifying p = -51
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