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Simplifying -19 = 3 + 8(d + -5) Reorder the terms: -19 = 3 + 8(-5 + d) -19 = 3 + (-5 * 8 + d * 8) -19 = 3 + (-40 + 8d) Combine like terms: 3 + -40 = -37 -19 = -37 + 8d Solving -19 = -37 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -19 + -8d = -37 + 8d + -8d Combine like terms: 8d + -8d = 0 -19 + -8d = -37 + 0 -19 + -8d = -37 Add '19' to each side of the equation. -19 + 19 + -8d = -37 + 19 Combine like terms: -19 + 19 = 0 0 + -8d = -37 + 19 -8d = -37 + 19 Combine like terms: -37 + 19 = -18 -8d = -18 Divide each side by '-8'. d = 2.25 Simplifying d = 2.25
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