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Simplifying 10(9d + -4) + 11 = 10d + -3 Reorder the terms: 10(-4 + 9d) + 11 = 10d + -3 (-4 * 10 + 9d * 10) + 11 = 10d + -3 (-40 + 90d) + 11 = 10d + -3 Reorder the terms: -40 + 11 + 90d = 10d + -3 Combine like terms: -40 + 11 = -29 -29 + 90d = 10d + -3 Reorder the terms: -29 + 90d = -3 + 10d Solving -29 + 90d = -3 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -29 + 90d + -10d = -3 + 10d + -10d Combine like terms: 90d + -10d = 80d -29 + 80d = -3 + 10d + -10d Combine like terms: 10d + -10d = 0 -29 + 80d = -3 + 0 -29 + 80d = -3 Add '29' to each side of the equation. -29 + 29 + 80d = -3 + 29 Combine like terms: -29 + 29 = 0 0 + 80d = -3 + 29 80d = -3 + 29 Combine like terms: -3 + 29 = 26 80d = 26 Divide each side by '80'. d = 0.325 Simplifying d = 0.325
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