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Simplifying -6(3p + 3) + -30 = 4(5p + 7) Reorder the terms: -6(3 + 3p) + -30 = 4(5p + 7) (3 * -6 + 3p * -6) + -30 = 4(5p + 7) (-18 + -18p) + -30 = 4(5p + 7) Reorder the terms: -18 + -30 + -18p = 4(5p + 7) Combine like terms: -18 + -30 = -48 -48 + -18p = 4(5p + 7) Reorder the terms: -48 + -18p = 4(7 + 5p) -48 + -18p = (7 * 4 + 5p * 4) -48 + -18p = (28 + 20p) Solving -48 + -18p = 28 + 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. -48 + -18p + -20p = 28 + 20p + -20p Combine like terms: -18p + -20p = -38p -48 + -38p = 28 + 20p + -20p Combine like terms: 20p + -20p = 0 -48 + -38p = 28 + 0 -48 + -38p = 28 Add '48' to each side of the equation. -48 + 48 + -38p = 28 + 48 Combine like terms: -48 + 48 = 0 0 + -38p = 28 + 48 -38p = 28 + 48 Combine like terms: 28 + 48 = 76 -38p = 76 Divide each side by '-38'. p = -2 Simplifying p = -2
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