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Simplifying 4b + -16 = 8(2b + -5) Reorder the terms: -16 + 4b = 8(2b + -5) Reorder the terms: -16 + 4b = 8(-5 + 2b) -16 + 4b = (-5 * 8 + 2b * 8) -16 + 4b = (-40 + 16b) Solving -16 + 4b = -40 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. -16 + 4b + -16b = -40 + 16b + -16b Combine like terms: 4b + -16b = -12b -16 + -12b = -40 + 16b + -16b Combine like terms: 16b + -16b = 0 -16 + -12b = -40 + 0 -16 + -12b = -40 Add '16' to each side of the equation. -16 + 16 + -12b = -40 + 16 Combine like terms: -16 + 16 = 0 0 + -12b = -40 + 16 -12b = -40 + 16 Combine like terms: -40 + 16 = -24 -12b = -24 Divide each side by '-12'. b = 2 Simplifying b = 2
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