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Simplifying 3(d + -10) + 4(d + -19) = 13 Reorder the terms: 3(-10 + d) + 4(d + -19) = 13 (-10 * 3 + d * 3) + 4(d + -19) = 13 (-30 + 3d) + 4(d + -19) = 13 Reorder the terms: -30 + 3d + 4(-19 + d) = 13 -30 + 3d + (-19 * 4 + d * 4) = 13 -30 + 3d + (-76 + 4d) = 13 Reorder the terms: -30 + -76 + 3d + 4d = 13 Combine like terms: -30 + -76 = -106 -106 + 3d + 4d = 13 Combine like terms: 3d + 4d = 7d -106 + 7d = 13 Solving -106 + 7d = 13 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '106' to each side of the equation. -106 + 106 + 7d = 13 + 106 Combine like terms: -106 + 106 = 0 0 + 7d = 13 + 106 7d = 13 + 106 Combine like terms: 13 + 106 = 119 7d = 119 Divide each side by '7'. d = 17 Simplifying d = 17
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