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Simplifying 10P + -2(3P + -6) = 4(3P + -6) Reorder the terms: 10P + -2(-6 + 3P) = 4(3P + -6) 10P + (-6 * -2 + 3P * -2) = 4(3P + -6) 10P + (12 + -6P) = 4(3P + -6) Reorder the terms: 12 + 10P + -6P = 4(3P + -6) Combine like terms: 10P + -6P = 4P 12 + 4P = 4(3P + -6) Reorder the terms: 12 + 4P = 4(-6 + 3P) 12 + 4P = (-6 * 4 + 3P * 4) 12 + 4P = (-24 + 12P) Solving 12 + 4P = -24 + 12P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-12P' to each side of the equation. 12 + 4P + -12P = -24 + 12P + -12P Combine like terms: 4P + -12P = -8P 12 + -8P = -24 + 12P + -12P Combine like terms: 12P + -12P = 0 12 + -8P = -24 + 0 12 + -8P = -24 Add '-12' to each side of the equation. 12 + -12 + -8P = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -8P = -24 + -12 -8P = -24 + -12 Combine like terms: -24 + -12 = -36 -8P = -36 Divide each side by '-8'. P = 4.5 Simplifying P = 4.5
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