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Simplifying 0 = 8(-3b + 3) + 8(-2b + 7) Reorder the terms: 0 = 8(3 + -3b) + 8(-2b + 7) 0 = (3 * 8 + -3b * 8) + 8(-2b + 7) 0 = (24 + -24b) + 8(-2b + 7) Reorder the terms: 0 = 24 + -24b + 8(7 + -2b) 0 = 24 + -24b + (7 * 8 + -2b * 8) 0 = 24 + -24b + (56 + -16b) Reorder the terms: 0 = 24 + 56 + -24b + -16b Combine like terms: 24 + 56 = 80 0 = 80 + -24b + -16b Combine like terms: -24b + -16b = -40b 0 = 80 + -40b Solving 0 = 80 + -40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40b' to each side of the equation. 0 + 40b = 80 + -40b + 40b Remove the zero: 40b = 80 + -40b + 40b Combine like terms: -40b + 40b = 0 40b = 80 + 0 40b = 80 Divide each side by '40'. b = 2 Simplifying b = 2
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