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Simplifying 16 + -6d + 18 = -6(5d + 16) + 14d Reorder the terms: 16 + 18 + -6d = -6(5d + 16) + 14d Combine like terms: 16 + 18 = 34 34 + -6d = -6(5d + 16) + 14d Reorder the terms: 34 + -6d = -6(16 + 5d) + 14d 34 + -6d = (16 * -6 + 5d * -6) + 14d 34 + -6d = (-96 + -30d) + 14d Combine like terms: -30d + 14d = -16d 34 + -6d = -96 + -16d Solving 34 + -6d = -96 + -16d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '16d' to each side of the equation. 34 + -6d + 16d = -96 + -16d + 16d Combine like terms: -6d + 16d = 10d 34 + 10d = -96 + -16d + 16d Combine like terms: -16d + 16d = 0 34 + 10d = -96 + 0 34 + 10d = -96 Add '-34' to each side of the equation. 34 + -34 + 10d = -96 + -34 Combine like terms: 34 + -34 = 0 0 + 10d = -96 + -34 10d = -96 + -34 Combine like terms: -96 + -34 = -130 10d = -130 Divide each side by '10'. d = -13 Simplifying d = -13
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