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Simplifying 3a + -8 = 7(a + 1) + 13a + 4 Reorder the terms: -8 + 3a = 7(a + 1) + 13a + 4 Reorder the terms: -8 + 3a = 7(1 + a) + 13a + 4 -8 + 3a = (1 * 7 + a * 7) + 13a + 4 -8 + 3a = (7 + 7a) + 13a + 4 Reorder the terms: -8 + 3a = 7 + 4 + 7a + 13a Combine like terms: 7 + 4 = 11 -8 + 3a = 11 + 7a + 13a Combine like terms: 7a + 13a = 20a -8 + 3a = 11 + 20a Solving -8 + 3a = 11 + 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. -8 + 3a + -20a = 11 + 20a + -20a Combine like terms: 3a + -20a = -17a -8 + -17a = 11 + 20a + -20a Combine like terms: 20a + -20a = 0 -8 + -17a = 11 + 0 -8 + -17a = 11 Add '8' to each side of the equation. -8 + 8 + -17a = 11 + 8 Combine like terms: -8 + 8 = 0 0 + -17a = 11 + 8 -17a = 11 + 8 Combine like terms: 11 + 8 = 19 -17a = 19 Divide each side by '-17'. a = -1.117647059 Simplifying a = -1.117647059
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