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Simplifying -5(8d + 9) = -19 + 7d Reorder the terms: -5(9 + 8d) = -19 + 7d (9 * -5 + 8d * -5) = -19 + 7d (-45 + -40d) = -19 + 7d Solving -45 + -40d = -19 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -45 + -40d + -7d = -19 + 7d + -7d Combine like terms: -40d + -7d = -47d -45 + -47d = -19 + 7d + -7d Combine like terms: 7d + -7d = 0 -45 + -47d = -19 + 0 -45 + -47d = -19 Add '45' to each side of the equation. -45 + 45 + -47d = -19 + 45 Combine like terms: -45 + 45 = 0 0 + -47d = -19 + 45 -47d = -19 + 45 Combine like terms: -19 + 45 = 26 -47d = 26 Divide each side by '-47'. d = -0.5531914894 Simplifying d = -0.5531914894
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