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Simplifying 10 = -7(10 + -8b) + -8(3b + 10) 10 = (10 * -7 + -8b * -7) + -8(3b + 10) 10 = (-70 + 56b) + -8(3b + 10) Reorder the terms: 10 = -70 + 56b + -8(10 + 3b) 10 = -70 + 56b + (10 * -8 + 3b * -8) 10 = -70 + 56b + (-80 + -24b) Reorder the terms: 10 = -70 + -80 + 56b + -24b Combine like terms: -70 + -80 = -150 10 = -150 + 56b + -24b Combine like terms: 56b + -24b = 32b 10 = -150 + 32b Solving 10 = -150 + 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. 10 + -32b = -150 + 32b + -32b Combine like terms: 32b + -32b = 0 10 + -32b = -150 + 0 10 + -32b = -150 Add '-10' to each side of the equation. 10 + -10 + -32b = -150 + -10 Combine like terms: 10 + -10 = 0 0 + -32b = -150 + -10 -32b = -150 + -10 Combine like terms: -150 + -10 = -160 -32b = -160 Divide each side by '-32'. b = 5 Simplifying b = 5
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