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Simplifying 4d + -10 = 5(2d + 1) Reorder the terms: -10 + 4d = 5(2d + 1) Reorder the terms: -10 + 4d = 5(1 + 2d) -10 + 4d = (1 * 5 + 2d * 5) -10 + 4d = (5 + 10d) Solving -10 + 4d = 5 + 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. -10 + 4d + -10d = 5 + 10d + -10d Combine like terms: 4d + -10d = -6d -10 + -6d = 5 + 10d + -10d Combine like terms: 10d + -10d = 0 -10 + -6d = 5 + 0 -10 + -6d = 5 Add '10' to each side of the equation. -10 + 10 + -6d = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -6d = 5 + 10 -6d = 5 + 10 Combine like terms: 5 + 10 = 15 -6d = 15 Divide each side by '-6'. d = -2.5 Simplifying d = -2.5
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