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Simplifying 7 + -1(d + -6) = 4(d + 2) + -10d Reorder the terms: 7 + -1(-6 + d) = 4(d + 2) + -10d 7 + (-6 * -1 + d * -1) = 4(d + 2) + -10d 7 + (6 + -1d) = 4(d + 2) + -10d Combine like terms: 7 + 6 = 13 13 + -1d = 4(d + 2) + -10d Reorder the terms: 13 + -1d = 4(2 + d) + -10d 13 + -1d = (2 * 4 + d * 4) + -10d 13 + -1d = (8 + 4d) + -10d Combine like terms: 4d + -10d = -6d 13 + -1d = 8 + -6d Solving 13 + -1d = 8 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 13 + -1d + 6d = 8 + -6d + 6d Combine like terms: -1d + 6d = 5d 13 + 5d = 8 + -6d + 6d Combine like terms: -6d + 6d = 0 13 + 5d = 8 + 0 13 + 5d = 8 Add '-13' to each side of the equation. 13 + -13 + 5d = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 5d = 8 + -13 5d = 8 + -13 Combine like terms: 8 + -13 = -5 5d = -5 Divide each side by '5'. d = -1 Simplifying d = -1
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