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Simplifying -14 + -1d + -16 = -2(d + 8) + -12d Reorder the terms: -14 + -16 + -1d = -2(d + 8) + -12d Combine like terms: -14 + -16 = -30 -30 + -1d = -2(d + 8) + -12d Reorder the terms: -30 + -1d = -2(8 + d) + -12d -30 + -1d = (8 * -2 + d * -2) + -12d -30 + -1d = (-16 + -2d) + -12d Combine like terms: -2d + -12d = -14d -30 + -1d = -16 + -14d Solving -30 + -1d = -16 + -14d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '14d' to each side of the equation. -30 + -1d + 14d = -16 + -14d + 14d Combine like terms: -1d + 14d = 13d -30 + 13d = -16 + -14d + 14d Combine like terms: -14d + 14d = 0 -30 + 13d = -16 + 0 -30 + 13d = -16 Add '30' to each side of the equation. -30 + 30 + 13d = -16 + 30 Combine like terms: -30 + 30 = 0 0 + 13d = -16 + 30 13d = -16 + 30 Combine like terms: -16 + 30 = 14 13d = 14 Divide each side by '13'. d = 1.076923077 Simplifying d = 1.076923077
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