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Simplifying 2(a + -20) + 2a = 5(a + -3) + -3 Reorder the terms: 2(-20 + a) + 2a = 5(a + -3) + -3 (-20 * 2 + a * 2) + 2a = 5(a + -3) + -3 (-40 + 2a) + 2a = 5(a + -3) + -3 Combine like terms: 2a + 2a = 4a -40 + 4a = 5(a + -3) + -3 Reorder the terms: -40 + 4a = 5(-3 + a) + -3 -40 + 4a = (-3 * 5 + a * 5) + -3 -40 + 4a = (-15 + 5a) + -3 Reorder the terms: -40 + 4a = -15 + -3 + 5a Combine like terms: -15 + -3 = -18 -40 + 4a = -18 + 5a Solving -40 + 4a = -18 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -40 + 4a + -5a = -18 + 5a + -5a Combine like terms: 4a + -5a = -1a -40 + -1a = -18 + 5a + -5a Combine like terms: 5a + -5a = 0 -40 + -1a = -18 + 0 -40 + -1a = -18 Add '40' to each side of the equation. -40 + 40 + -1a = -18 + 40 Combine like terms: -40 + 40 = 0 0 + -1a = -18 + 40 -1a = -18 + 40 Combine like terms: -18 + 40 = 22 -1a = 22 Divide each side by '-1'. a = -22 Simplifying a = -22
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