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Simplifying 6P + -33 = 2(-2 + 6P) + 7 Reorder the terms: -33 + 6P = 2(-2 + 6P) + 7 -33 + 6P = (-2 * 2 + 6P * 2) + 7 -33 + 6P = (-4 + 12P) + 7 Reorder the terms: -33 + 6P = -4 + 7 + 12P Combine like terms: -4 + 7 = 3 -33 + 6P = 3 + 12P Solving -33 + 6P = 3 + 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. -33 + 6P + -12P = 3 + 12P + -12P Combine like terms: 6P + -12P = -6P -33 + -6P = 3 + 12P + -12P Combine like terms: 12P + -12P = 0 -33 + -6P = 3 + 0 -33 + -6P = 3 Add '33' to each side of the equation. -33 + 33 + -6P = 3 + 33 Combine like terms: -33 + 33 = 0 0 + -6P = 3 + 33 -6P = 3 + 33 Combine like terms: 3 + 33 = 36 -6P = 36 Divide each side by '-6'. P = -6 Simplifying P = -6
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