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Simplifying -4 = 5 + 2(5d + -2) Reorder the terms: -4 = 5 + 2(-2 + 5d) -4 = 5 + (-2 * 2 + 5d * 2) -4 = 5 + (-4 + 10d) Combine like terms: 5 + -4 = 1 -4 = 1 + 10d Solving -4 = 1 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -4 + -10d = 1 + 10d + -10d Combine like terms: 10d + -10d = 0 -4 + -10d = 1 + 0 -4 + -10d = 1 Add '4' to each side of the equation. -4 + 4 + -10d = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -10d = 1 + 4 -10d = 1 + 4 Combine like terms: 1 + 4 = 5 -10d = 5 Divide each side by '-10'. d = -0.5 Simplifying d = -0.5
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