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Simplifying 5a + -7 = 7(a + 1) + 17a + 6 Reorder the terms: -7 + 5a = 7(a + 1) + 17a + 6 Reorder the terms: -7 + 5a = 7(1 + a) + 17a + 6 -7 + 5a = (1 * 7 + a * 7) + 17a + 6 -7 + 5a = (7 + 7a) + 17a + 6 Reorder the terms: -7 + 5a = 7 + 6 + 7a + 17a Combine like terms: 7 + 6 = 13 -7 + 5a = 13 + 7a + 17a Combine like terms: 7a + 17a = 24a -7 + 5a = 13 + 24a Solving -7 + 5a = 13 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. -7 + 5a + -24a = 13 + 24a + -24a Combine like terms: 5a + -24a = -19a -7 + -19a = 13 + 24a + -24a Combine like terms: 24a + -24a = 0 -7 + -19a = 13 + 0 -7 + -19a = 13 Add '7' to each side of the equation. -7 + 7 + -19a = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -19a = 13 + 7 -19a = 13 + 7 Combine like terms: 13 + 7 = 20 -19a = 20 Divide each side by '-19'. a = -1.052631579 Simplifying a = -1.052631579
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