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Simplifying 6x + 3(5d + -4) = 133 Reorder the terms: 6x + 3(-4 + 5d) = 133 6x + (-4 * 3 + 5d * 3) = 133 6x + (-12 + 15d) = 133 Reorder the terms: -12 + 15d + 6x = 133 Solving -12 + 15d + 6x = 133 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 15d + 12 + 6x = 133 + 12 Reorder the terms: -12 + 12 + 15d + 6x = 133 + 12 Combine like terms: -12 + 12 = 0 0 + 15d + 6x = 133 + 12 15d + 6x = 133 + 12 Combine like terms: 133 + 12 = 145 15d + 6x = 145 Add '-6x' to each side of the equation. 15d + 6x + -6x = 145 + -6x Combine like terms: 6x + -6x = 0 15d + 0 = 145 + -6x 15d = 145 + -6x Divide each side by '15'. d = 9.666666667 + -0.4x Simplifying d = 9.666666667 + -0.4x
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