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Simplifying 7p + -5 = -3(10 + 8) + -12(1 + -3p) Reorder the terms: -5 + 7p = -3(10 + 8) + -12(1 + -3p) Combine like terms: 10 + 8 = 18 -5 + 7p = -3(18) + -12(1 + -3p) Multiply -3 * 18 -5 + 7p = -54 + -12(1 + -3p) -5 + 7p = -54 + (1 * -12 + -3p * -12) -5 + 7p = -54 + (-12 + 36p) Combine like terms: -54 + -12 = -66 -5 + 7p = -66 + 36p Solving -5 + 7p = -66 + 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. -5 + 7p + -36p = -66 + 36p + -36p Combine like terms: 7p + -36p = -29p -5 + -29p = -66 + 36p + -36p Combine like terms: 36p + -36p = 0 -5 + -29p = -66 + 0 -5 + -29p = -66 Add '5' to each side of the equation. -5 + 5 + -29p = -66 + 5 Combine like terms: -5 + 5 = 0 0 + -29p = -66 + 5 -29p = -66 + 5 Combine like terms: -66 + 5 = -61 -29p = -61 Divide each side by '-29'. p = 2.103448276 Simplifying p = 2.103448276
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