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Simplifying 4d + -10 = 10(d + -7) Reorder the terms: -10 + 4d = 10(d + -7) Reorder the terms: -10 + 4d = 10(-7 + d) -10 + 4d = (-7 * 10 + d * 10) -10 + 4d = (-70 + 10d) Solving -10 + 4d = -70 + 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 = -70 + 10d + -10d Combine like terms: 4d + -10d = -6d -10 + -6d = -70 + 10d + -10d Combine like terms: 10d + -10d = 0 -10 + -6d = -70 + 0 -10 + -6d = -70 Add '10' to each side of the equation. -10 + 10 + -6d = -70 + 10 Combine like terms: -10 + 10 = 0 0 + -6d = -70 + 10 -6d = -70 + 10 Combine like terms: -70 + 10 = -60 -6d = -60 Divide each side by '-6'. d = 10 Simplifying d = 10
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