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Simplifying 1 + 7a + -5 + -2a = 1 + 20(a + 3) Reorder the terms: 1 + -5 + 7a + -2a = 1 + 20(a + 3) Combine like terms: 1 + -5 = -4 -4 + 7a + -2a = 1 + 20(a + 3) Combine like terms: 7a + -2a = 5a -4 + 5a = 1 + 20(a + 3) Reorder the terms: -4 + 5a = 1 + 20(3 + a) -4 + 5a = 1 + (3 * 20 + a * 20) -4 + 5a = 1 + (60 + 20a) Combine like terms: 1 + 60 = 61 -4 + 5a = 61 + 20a Solving -4 + 5a = 61 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -4 + 5a + -20a = 61 + 20a + -20a Combine like terms: 5a + -20a = -15a -4 + -15a = 61 + 20a + -20a Combine like terms: 20a + -20a = 0 -4 + -15a = 61 + 0 -4 + -15a = 61 Add '4' to each side of the equation. -4 + 4 + -15a = 61 + 4 Combine like terms: -4 + 4 = 0 0 + -15a = 61 + 4 -15a = 61 + 4 Combine like terms: 61 + 4 = 65 -15a = 65 Divide each side by '-15'. a = -4.333333333 Simplifying a = -4.333333333
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