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Simplifying 2d + -10 = 6(7 + -4d) Reorder the terms: -10 + 2d = 6(7 + -4d) -10 + 2d = (7 * 6 + -4d * 6) -10 + 2d = (42 + -24d) Solving -10 + 2d = 42 + -24d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '24d' to each side of the equation. -10 + 2d + 24d = 42 + -24d + 24d Combine like terms: 2d + 24d = 26d -10 + 26d = 42 + -24d + 24d Combine like terms: -24d + 24d = 0 -10 + 26d = 42 + 0 -10 + 26d = 42 Add '10' to each side of the equation. -10 + 10 + 26d = 42 + 10 Combine like terms: -10 + 10 = 0 0 + 26d = 42 + 10 26d = 42 + 10 Combine like terms: 42 + 10 = 52 26d = 52 Divide each side by '26'. d = 2 Simplifying d = 2
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