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Simplifying 16(2b + -13) = 6(b + -16) Reorder the terms: 16(-13 + 2b) = 6(b + -16) (-13 * 16 + 2b * 16) = 6(b + -16) (-208 + 32b) = 6(b + -16) Reorder the terms: -208 + 32b = 6(-16 + b) -208 + 32b = (-16 * 6 + b * 6) -208 + 32b = (-96 + 6b) Solving -208 + 32b = -96 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -208 + 32b + -6b = -96 + 6b + -6b Combine like terms: 32b + -6b = 26b -208 + 26b = -96 + 6b + -6b Combine like terms: 6b + -6b = 0 -208 + 26b = -96 + 0 -208 + 26b = -96 Add '208' to each side of the equation. -208 + 208 + 26b = -96 + 208 Combine like terms: -208 + 208 = 0 0 + 26b = -96 + 208 26b = -96 + 208 Combine like terms: -96 + 208 = 112 26b = 112 Divide each side by '26'. b = 4.307692308 Simplifying b = 4.307692308
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