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Simplifying -5(5p + 4) + -30 = 2(3p + 6) Reorder the terms: -5(4 + 5p) + -30 = 2(3p + 6) (4 * -5 + 5p * -5) + -30 = 2(3p + 6) (-20 + -25p) + -30 = 2(3p + 6) Reorder the terms: -20 + -30 + -25p = 2(3p + 6) Combine like terms: -20 + -30 = -50 -50 + -25p = 2(3p + 6) Reorder the terms: -50 + -25p = 2(6 + 3p) -50 + -25p = (6 * 2 + 3p * 2) -50 + -25p = (12 + 6p) Solving -50 + -25p = 12 + 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. -50 + -25p + -6p = 12 + 6p + -6p Combine like terms: -25p + -6p = -31p -50 + -31p = 12 + 6p + -6p Combine like terms: 6p + -6p = 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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