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Simplifying 4(d + -1) + -5(d + 2) = -3 Reorder the terms: 4(-1 + d) + -5(d + 2) = -3 (-1 * 4 + d * 4) + -5(d + 2) = -3 (-4 + 4d) + -5(d + 2) = -3 Reorder the terms: -4 + 4d + -5(2 + d) = -3 -4 + 4d + (2 * -5 + d * -5) = -3 -4 + 4d + (-10 + -5d) = -3 Reorder the terms: -4 + -10 + 4d + -5d = -3 Combine like terms: -4 + -10 = -14 -14 + 4d + -5d = -3 Combine like terms: 4d + -5d = -1d -14 + -1d = -3 Solving -14 + -1d = -3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1d = -3 + 14 Combine like terms: -14 + 14 = 0 0 + -1d = -3 + 14 -1d = -3 + 14 Combine like terms: -3 + 14 = 11 -1d = 11 Divide each side by '-1'. d = -11 Simplifying d = -11
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