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Simplifying -28 + -3p = 7(p + 5) + 7 Reorder the terms: -28 + -3p = 7(5 + p) + 7 -28 + -3p = (5 * 7 + p * 7) + 7 -28 + -3p = (35 + 7p) + 7 Reorder the terms: -28 + -3p = 35 + 7 + 7p Combine like terms: 35 + 7 = 42 -28 + -3p = 42 + 7p Solving -28 + -3p = 42 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -28 + -3p + -7p = 42 + 7p + -7p Combine like terms: -3p + -7p = -10p -28 + -10p = 42 + 7p + -7p Combine like terms: 7p + -7p = 0 -28 + -10p = 42 + 0 -28 + -10p = 42 Add '28' to each side of the equation. -28 + 28 + -10p = 42 + 28 Combine like terms: -28 + 28 = 0 0 + -10p = 42 + 28 -10p = 42 + 28 Combine like terms: 42 + 28 = 70 -10p = 70 Divide each side by '-10'. p = -7 Simplifying p = -7
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