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Simplifying 4(15b + -10) = -5(1 + -19b) Reorder the terms: 4(-10 + 15b) = -5(1 + -19b) (-10 * 4 + 15b * 4) = -5(1 + -19b) (-40 + 60b) = -5(1 + -19b) -40 + 60b = (1 * -5 + -19b * -5) -40 + 60b = (-5 + 95b) Solving -40 + 60b = -5 + 95b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-95b' to each side of the equation. -40 + 60b + -95b = -5 + 95b + -95b Combine like terms: 60b + -95b = -35b -40 + -35b = -5 + 95b + -95b Combine like terms: 95b + -95b = 0 -40 + -35b = -5 + 0 -40 + -35b = -5 Add '40' to each side of the equation. -40 + 40 + -35b = -5 + 40 Combine like terms: -40 + 40 = 0 0 + -35b = -5 + 40 -35b = -5 + 40 Combine like terms: -5 + 40 = 35 -35b = 35 Divide each side by '-35'. b = -1 Simplifying b = -1
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