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Simplifying -62 = -6(8b + -3) + -8(3b + 1) Reorder the terms: -62 = -6(-3 + 8b) + -8(3b + 1) -62 = (-3 * -6 + 8b * -6) + -8(3b + 1) -62 = (18 + -48b) + -8(3b + 1) Reorder the terms: -62 = 18 + -48b + -8(1 + 3b) -62 = 18 + -48b + (1 * -8 + 3b * -8) -62 = 18 + -48b + (-8 + -24b) Reorder the terms: -62 = 18 + -8 + -48b + -24b Combine like terms: 18 + -8 = 10 -62 = 10 + -48b + -24b Combine like terms: -48b + -24b = -72b -62 = 10 + -72b Solving -62 = 10 + -72b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '72b' to each side of the equation. -62 + 72b = 10 + -72b + 72b Combine like terms: -72b + 72b = 0 -62 + 72b = 10 + 0 -62 + 72b = 10 Add '62' to each side of the equation. -62 + 62 + 72b = 10 + 62 Combine like terms: -62 + 62 = 0 0 + 72b = 10 + 62 72b = 10 + 62 Combine like terms: 10 + 62 = 72 72b = 72 Divide each side by '72'. b = 1 Simplifying b = 1
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