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Simplifying -7(4p + 3) + -49 = 2(5p + 3) Reorder the terms: -7(3 + 4p) + -49 = 2(5p + 3) (3 * -7 + 4p * -7) + -49 = 2(5p + 3) (-21 + -28p) + -49 = 2(5p + 3) Reorder the terms: -21 + -49 + -28p = 2(5p + 3) Combine like terms: -21 + -49 = -70 -70 + -28p = 2(5p + 3) Reorder the terms: -70 + -28p = 2(3 + 5p) -70 + -28p = (3 * 2 + 5p * 2) -70 + -28p = (6 + 10p) Solving -70 + -28p = 6 + 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. -70 + -28p + -10p = 6 + 10p + -10p Combine like terms: -28p + -10p = -38p -70 + -38p = 6 + 10p + -10p Combine like terms: 10p + -10p = 0 -70 + -38p = 6 + 0 -70 + -38p = 6 Add '70' to each side of the equation. -70 + 70 + -38p = 6 + 70 Combine like terms: -70 + 70 = 0 0 + -38p = 6 + 70 -38p = 6 + 70 Combine like terms: 6 + 70 = 76 -38p = 76 Divide each side by '-38'. p = -2 Simplifying p = -2
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