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Simplifying 10b + -45 = 36(b + -15) Reorder the terms: -45 + 10b = 36(b + -15) Reorder the terms: -45 + 10b = 36(-15 + b) -45 + 10b = (-15 * 36 + b * 36) -45 + 10b = (-540 + 36b) Solving -45 + 10b = -540 + 36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36b' to each side of the equation. -45 + 10b + -36b = -540 + 36b + -36b Combine like terms: 10b + -36b = -26b -45 + -26b = -540 + 36b + -36b Combine like terms: 36b + -36b = 0 -45 + -26b = -540 + 0 -45 + -26b = -540 Add '45' to each side of the equation. -45 + 45 + -26b = -540 + 45 Combine like terms: -45 + 45 = 0 0 + -26b = -540 + 45 -26b = -540 + 45 Combine like terms: -540 + 45 = -495 -26b = -495 Divide each side by '-26'. b = 19.03846154 Simplifying b = 19.03846154
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