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Simplifying 2(a + -20) + 2a = 5(a + -3) * 2 Reorder the terms: 2(-20 + a) + 2a = 5(a + -3) * 2 (-20 * 2 + a * 2) + 2a = 5(a + -3) * 2 (-40 + 2a) + 2a = 5(a + -3) * 2 Combine like terms: 2a + 2a = 4a -40 + 4a = 5(a + -3) * 2 Reorder the terms: -40 + 4a = 5(-3 + a) * 2 Reorder the terms for easier multiplication: -40 + 4a = 5 * 2(-3 + a) Multiply 5 * 2 -40 + 4a = 10(-3 + a) -40 + 4a = (-3 * 10 + a * 10) -40 + 4a = (-30 + 10a) Solving -40 + 4a = -30 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -40 + 4a + -10a = -30 + 10a + -10a Combine like terms: 4a + -10a = -6a -40 + -6a = -30 + 10a + -10a Combine like terms: 10a + -10a = 0 -40 + -6a = -30 + 0 -40 + -6a = -30 Add '40' to each side of the equation. -40 + 40 + -6a = -30 + 40 Combine like terms: -40 + 40 = 0 0 + -6a = -30 + 40 -6a = -30 + 40 Combine like terms: -30 + 40 = 10 -6a = 10 Divide each side by '-6'. a = -1.666666667 Simplifying a = -1.666666667
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