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Simplifying -7(3p + 3) + -37 = 4(5p + 6) Reorder the terms: -7(3 + 3p) + -37 = 4(5p + 6) (3 * -7 + 3p * -7) + -37 = 4(5p + 6) (-21 + -21p) + -37 = 4(5p + 6) Reorder the terms: -21 + -37 + -21p = 4(5p + 6) Combine like terms: -21 + -37 = -58 -58 + -21p = 4(5p + 6) Reorder the terms: -58 + -21p = 4(6 + 5p) -58 + -21p = (6 * 4 + 5p * 4) -58 + -21p = (24 + 20p) Solving -58 + -21p = 24 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -58 + -21p + -20p = 24 + 20p + -20p Combine like terms: -21p + -20p = -41p -58 + -41p = 24 + 20p + -20p Combine like terms: 20p + -20p = 0 -58 + -41p = 24 + 0 -58 + -41p = 24 Add '58' to each side of the equation. -58 + 58 + -41p = 24 + 58 Combine like terms: -58 + 58 = 0 0 + -41p = 24 + 58 -41p = 24 + 58 Combine like terms: 24 + 58 = 82 -41p = 82 Divide each side by '-41'. p = -2 Simplifying p = -2
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