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Simplifying -7(3p + 4) + -22 = 2(5p + 6) Reorder the terms: -7(4 + 3p) + -22 = 2(5p + 6) (4 * -7 + 3p * -7) + -22 = 2(5p + 6) (-28 + -21p) + -22 = 2(5p + 6) Reorder the terms: -28 + -22 + -21p = 2(5p + 6) Combine like terms: -28 + -22 = -50 -50 + -21p = 2(5p + 6) Reorder the terms: -50 + -21p = 2(6 + 5p) -50 + -21p = (6 * 2 + 5p * 2) -50 + -21p = (12 + 10p) Solving -50 + -21p = 12 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -50 + -21p + -10p = 12 + 10p + -10p Combine like terms: -21p + -10p = -31p -50 + -31p = 12 + 10p + -10p Combine like terms: 10p + -10p = 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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