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Simplifying 10b + -45 = 2(b + -15) Reorder the terms: -45 + 10b = 2(b + -15) Reorder the terms: -45 + 10b = 2(-15 + b) -45 + 10b = (-15 * 2 + b * 2) -45 + 10b = (-30 + 2b) Solving -45 + 10b = -30 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -45 + 10b + -2b = -30 + 2b + -2b Combine like terms: 10b + -2b = 8b -45 + 8b = -30 + 2b + -2b Combine like terms: 2b + -2b = 0 -45 + 8b = -30 + 0 -45 + 8b = -30 Add '45' to each side of the equation. -45 + 45 + 8b = -30 + 45 Combine like terms: -45 + 45 = 0 0 + 8b = -30 + 45 8b = -30 + 45 Combine like terms: -30 + 45 = 15 8b = 15 Divide each side by '8'. b = 1.875 Simplifying b = 1.875
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