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Simplifying -4(4p + 2) + -42 = 3(5p + 4) Reorder the terms: -4(2 + 4p) + -42 = 3(5p + 4) (2 * -4 + 4p * -4) + -42 = 3(5p + 4) (-8 + -16p) + -42 = 3(5p + 4) Reorder the terms: -8 + -42 + -16p = 3(5p + 4) Combine like terms: -8 + -42 = -50 -50 + -16p = 3(5p + 4) Reorder the terms: -50 + -16p = 3(4 + 5p) -50 + -16p = (4 * 3 + 5p * 3) -50 + -16p = (12 + 15p) Solving -50 + -16p = 12 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -50 + -16p + -15p = 12 + 15p + -15p Combine like terms: -16p + -15p = -31p -50 + -31p = 12 + 15p + -15p Combine like terms: 15p + -15p = 0 -50 + -31p = 12 + 0 -50 + -31p = 12 Add '50' to each side of the equation. -50 + 50 + -31p = 12 + 50 Combine like terms: -50 + 50 = 0 0 + -31p = 12 + 50 -31p = 12 + 50 Combine like terms: 12 + 50 = 62 -31p = 62 Divide each side by '-31'. p = -2 Simplifying p = -2
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