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Simplifying 7(-20rb + -12) + -16r = -3(5r + -19) Reorder the terms: 7(-12 + -20br) + -16r = -3(5r + -19) (-12 * 7 + -20br * 7) + -16r = -3(5r + -19) (-84 + -140br) + -16r = -3(5r + -19) Reorder the terms: -84 + -140br + -16r = -3(-19 + 5r) -84 + -140br + -16r = (-19 * -3 + 5r * -3) -84 + -140br + -16r = (57 + -15r) Solving -84 + -140br + -16r = 57 + -15r Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '84' to each side of the equation. -84 + -140br + 84 + -16r = 57 + 84 + -15r Reorder the terms: -84 + 84 + -140br + -16r = 57 + 84 + -15r Combine like terms: -84 + 84 = 0 0 + -140br + -16r = 57 + 84 + -15r -140br + -16r = 57 + 84 + -15r Combine like terms: 57 + 84 = 141 -140br + -16r = 141 + -15r Add '16r' to each side of the equation. -140br + -16r + 16r = 141 + -15r + 16r Combine like terms: -16r + 16r = 0 -140br + 0 = 141 + -15r + 16r -140br = 141 + -15r + 16r Combine like terms: -15r + 16r = 1r -140br = 141 + 1r Divide each side by '-140r'. b = -1.007142857r-1 + -0.007142857143 Simplifying b = -1.007142857r-1 + -0.007142857143 Reorder the terms: b = -0.007142857143 + -1.007142857r-1
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