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Simplifying 8(4q + -5) + -7a = 20q + -10 Reorder the terms: 8(-5 + 4q) + -7a = 20q + -10 (-5 * 8 + 4q * 8) + -7a = 20q + -10 (-40 + 32q) + -7a = 20q + -10 Reorder the terms: -40 + -7a + 32q = 20q + -10 Reorder the terms: -40 + -7a + 32q = -10 + 20q Solving -40 + -7a + 32q = -10 + 20q Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40' to each side of the equation. -40 + -7a + 40 + 32q = -10 + 40 + 20q Reorder the terms: -40 + 40 + -7a + 32q = -10 + 40 + 20q Combine like terms: -40 + 40 = 0 0 + -7a + 32q = -10 + 40 + 20q -7a + 32q = -10 + 40 + 20q Combine like terms: -10 + 40 = 30 -7a + 32q = 30 + 20q Add '-32q' to each side of the equation. -7a + 32q + -32q = 30 + 20q + -32q Combine like terms: 32q + -32q = 0 -7a + 0 = 30 + 20q + -32q -7a = 30 + 20q + -32q Combine like terms: 20q + -32q = -12q -7a = 30 + -12q Divide each side by '-7'. a = -4.285714286 + 1.714285714q Simplifying a = -4.285714286 + 1.714285714q
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