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Simplifying 62 = 8(-8b + 8) + -6(5 + -6b) Reorder the terms: 62 = 8(8 + -8b) + -6(5 + -6b) 62 = (8 * 8 + -8b * 8) + -6(5 + -6b) 62 = (64 + -64b) + -6(5 + -6b) 62 = 64 + -64b + (5 * -6 + -6b * -6) 62 = 64 + -64b + (-30 + 36b) Reorder the terms: 62 = 64 + -30 + -64b + 36b Combine like terms: 64 + -30 = 34 62 = 34 + -64b + 36b Combine like terms: -64b + 36b = -28b 62 = 34 + -28b Solving 62 = 34 + -28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '28b' to each side of the equation. 62 + 28b = 34 + -28b + 28b Combine like terms: -28b + 28b = 0 62 + 28b = 34 + 0 62 + 28b = 34 Add '-62' to each side of the equation. 62 + -62 + 28b = 34 + -62 Combine like terms: 62 + -62 = 0 0 + 28b = 34 + -62 28b = 34 + -62 Combine like terms: 34 + -62 = -28 28b = -28 Divide each side by '28'. b = -1 Simplifying b = -1
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