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Simplifying 5(3 + -1d) + -2d = d + -4 (3 * 5 + -1d * 5) + -2d = d + -4 (15 + -5d) + -2d = d + -4 Combine like terms: -5d + -2d = -7d 15 + -7d = d + -4 Reorder the terms: 15 + -7d = -4 + d Solving 15 + -7d = -4 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 15 + -7d + -1d = -4 + d + -1d Combine like terms: -7d + -1d = -8d 15 + -8d = -4 + d + -1d Combine like terms: d + -1d = 0 15 + -8d = -4 + 0 15 + -8d = -4 Add '-15' to each side of the equation. 15 + -15 + -8d = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -8d = -4 + -15 -8d = -4 + -15 Combine like terms: -4 + -15 = -19 -8d = -19 Divide each side by '-8'. d = 2.375 Simplifying d = 2.375
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