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Simplifying -8[5b + 2] + -7[b + -5] = 0 Reorder the terms: -8[2 + 5b] + -7[b + -5] = 0 [2 * -8 + 5b * -8] + -7[b + -5] = 0 [-16 + -40b] + -7[b + -5] = 0 Reorder the terms: -16 + -40b + -7[-5 + b] = 0 -16 + -40b + [-5 * -7 + b * -7] = 0 -16 + -40b + [35 + -7b] = 0 Reorder the terms: -16 + 35 + -40b + -7b = 0 Combine like terms: -16 + 35 = 19 19 + -40b + -7b = 0 Combine like terms: -40b + -7b = -47b 19 + -47b = 0 Solving 19 + -47b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -47b = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -47b = 0 + -19 -47b = 0 + -19 Combine like terms: 0 + -19 = -19 -47b = -19 Divide each side by '-47'. b = 0.4042553191 Simplifying b = 0.4042553191
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