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Simplifying 4 + -7(8b + -7) = 2b + -9 Reorder the terms: 4 + -7(-7 + 8b) = 2b + -9 4 + (-7 * -7 + 8b * -7) = 2b + -9 4 + (49 + -56b) = 2b + -9 Combine like terms: 4 + 49 = 53 53 + -56b = 2b + -9 Reorder the terms: 53 + -56b = -9 + 2b Solving 53 + -56b = -9 + 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. 53 + -56b + -2b = -9 + 2b + -2b Combine like terms: -56b + -2b = -58b 53 + -58b = -9 + 2b + -2b Combine like terms: 2b + -2b = 0 53 + -58b = -9 + 0 53 + -58b = -9 Add '-53' to each side of the equation. 53 + -53 + -58b = -9 + -53 Combine like terms: 53 + -53 = 0 0 + -58b = -9 + -53 -58b = -9 + -53 Combine like terms: -9 + -53 = -62 -58b = -62 Divide each side by '-58'. b = 1.068965517 Simplifying b = 1.068965517
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