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Simplifying 10p + -2(3p + -6) + 18 = 4(5p + -6) + -10p + 12 Reorder the terms: 10p + -2(-6 + 3p) + 18 = 4(5p + -6) + -10p + 12 10p + (-6 * -2 + 3p * -2) + 18 = 4(5p + -6) + -10p + 12 10p + (12 + -6p) + 18 = 4(5p + -6) + -10p + 12 Reorder the terms: 12 + 18 + 10p + -6p = 4(5p + -6) + -10p + 12 Combine like terms: 12 + 18 = 30 30 + 10p + -6p = 4(5p + -6) + -10p + 12 Combine like terms: 10p + -6p = 4p 30 + 4p = 4(5p + -6) + -10p + 12 Reorder the terms: 30 + 4p = 4(-6 + 5p) + -10p + 12 30 + 4p = (-6 * 4 + 5p * 4) + -10p + 12 30 + 4p = (-24 + 20p) + -10p + 12 Reorder the terms: 30 + 4p = -24 + 12 + 20p + -10p Combine like terms: -24 + 12 = -12 30 + 4p = -12 + 20p + -10p Combine like terms: 20p + -10p = 10p 30 + 4p = -12 + 10p Solving 30 + 4p = -12 + 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. 30 + 4p + -10p = -12 + 10p + -10p Combine like terms: 4p + -10p = -6p 30 + -6p = -12 + 10p + -10p Combine like terms: 10p + -10p = 0 30 + -6p = -12 + 0 30 + -6p = -12 Add '-30' to each side of the equation. 30 + -30 + -6p = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -6p = -12 + -30 -6p = -12 + -30 Combine like terms: -12 + -30 = -42 -6p = -42 Divide each side by '-6'. p = 7 Simplifying p = 7
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