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Simplifying -6b + -4(11b + 2) = -12(1 + 46) Reorder the terms: -6b + -4(2 + 11b) = -12(1 + 46) -6b + (2 * -4 + 11b * -4) = -12(1 + 46) -6b + (-8 + -44b) = -12(1 + 46) Reorder the terms: -8 + -6b + -44b = -12(1 + 46) Combine like terms: -6b + -44b = -50b -8 + -50b = -12(1 + 46) Combine like terms: 1 + 46 = 47 -8 + -50b = -12(47) Multiply -12 * 47 -8 + -50b = -564 Solving -8 + -50b = -564 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -50b = -564 + 8 Combine like terms: -8 + 8 = 0 0 + -50b = -564 + 8 -50b = -564 + 8 Combine like terms: -564 + 8 = -556 -50b = -556 Divide each side by '-50'. b = 11.12 Simplifying b = 11.12
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