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Simplifying 6(3b + -8) = 2(6b + -3) Reorder the terms: 6(-8 + 3b) = 2(6b + -3) (-8 * 6 + 3b * 6) = 2(6b + -3) (-48 + 18b) = 2(6b + -3) Reorder the terms: -48 + 18b = 2(-3 + 6b) -48 + 18b = (-3 * 2 + 6b * 2) -48 + 18b = (-6 + 12b) Solving -48 + 18b = -6 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -48 + 18b + -12b = -6 + 12b + -12b Combine like terms: 18b + -12b = 6b -48 + 6b = -6 + 12b + -12b Combine like terms: 12b + -12b = 0 -48 + 6b = -6 + 0 -48 + 6b = -6 Add '48' to each side of the equation. -48 + 48 + 6b = -6 + 48 Combine like terms: -48 + 48 = 0 0 + 6b = -6 + 48 6b = -6 + 48 Combine like terms: -6 + 48 = 42 6b = 42 Divide each side by '6'. b = 7 Simplifying b = 7
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