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Simplifying -16 + 4(-6d + -19) = -28d + 18 + 5d Reorder the terms: -16 + 4(-19 + -6d) = -28d + 18 + 5d -16 + (-19 * 4 + -6d * 4) = -28d + 18 + 5d -16 + (-76 + -24d) = -28d + 18 + 5d Combine like terms: -16 + -76 = -92 -92 + -24d = -28d + 18 + 5d Reorder the terms: -92 + -24d = 18 + -28d + 5d Combine like terms: -28d + 5d = -23d -92 + -24d = 18 + -23d Solving -92 + -24d = 18 + -23d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '23d' to each side of the equation. -92 + -24d + 23d = 18 + -23d + 23d Combine like terms: -24d + 23d = -1d -92 + -1d = 18 + -23d + 23d Combine like terms: -23d + 23d = 0 -92 + -1d = 18 + 0 -92 + -1d = 18 Add '92' to each side of the equation. -92 + 92 + -1d = 18 + 92 Combine like terms: -92 + 92 = 0 0 + -1d = 18 + 92 -1d = 18 + 92 Combine like terms: 18 + 92 = 110 -1d = 110 Divide each side by '-1'. d = -110 Simplifying d = -110
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