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Simplifying 3(d + -4) + 2 + -2d + 1 + -1d = p Reorder the terms: 3(-4 + d) + 2 + -2d + 1 + -1d = p (-4 * 3 + d * 3) + 2 + -2d + 1 + -1d = p (-12 + 3d) + 2 + -2d + 1 + -1d = p Reorder the terms: -12 + 2 + 1 + 3d + -2d + -1d = p Combine like terms: -12 + 2 = -10 -10 + 1 + 3d + -2d + -1d = p Combine like terms: -10 + 1 = -9 -9 + 3d + -2d + -1d = p Combine like terms: 3d + -2d = 1d -9 + 1d + -1d = p Combine like terms: 1d + -1d = 0 -9 + 0 = p -9 = p Solving -9 = p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -9 + -1p = p + -1p Combine like terms: p + -1p = 0 -9 + -1p = 0 Add '9' to each side of the equation. -9 + 9 + -1p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1p = 0 + 9 -1p = 0 + 9 Combine like terms: 0 + 9 = 9 -1p = 9 Divide each side by '-1'. p = -9 Simplifying p = -9
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