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Simplifying -5(3p + 4) + -30 = 4(4p + 3) Reorder the terms: -5(4 + 3p) + -30 = 4(4p + 3) (4 * -5 + 3p * -5) + -30 = 4(4p + 3) (-20 + -15p) + -30 = 4(4p + 3) Reorder the terms: -20 + -30 + -15p = 4(4p + 3) Combine like terms: -20 + -30 = -50 -50 + -15p = 4(4p + 3) Reorder the terms: -50 + -15p = 4(3 + 4p) -50 + -15p = (3 * 4 + 4p * 4) -50 + -15p = (12 + 16p) Solving -50 + -15p = 12 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -50 + -15p + -16p = 12 + 16p + -16p Combine like terms: -15p + -16p = -31p -50 + -31p = 12 + 16p + -16p Combine like terms: 16p + -16p = 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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