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Simplifying 5a + -7 = 3(a + 1) + 10a + 1 Reorder the terms: -7 + 5a = 3(a + 1) + 10a + 1 Reorder the terms: -7 + 5a = 3(1 + a) + 10a + 1 -7 + 5a = (1 * 3 + a * 3) + 10a + 1 -7 + 5a = (3 + 3a) + 10a + 1 Reorder the terms: -7 + 5a = 3 + 1 + 3a + 10a Combine like terms: 3 + 1 = 4 -7 + 5a = 4 + 3a + 10a Combine like terms: 3a + 10a = 13a -7 + 5a = 4 + 13a Solving -7 + 5a = 4 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -7 + 5a + -13a = 4 + 13a + -13a Combine like terms: 5a + -13a = -8a -7 + -8a = 4 + 13a + -13a Combine like terms: 13a + -13a = 0 -7 + -8a = 4 + 0 -7 + -8a = 4 Add '7' to each side of the equation. -7 + 7 + -8a = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -8a = 4 + 7 -8a = 4 + 7 Combine like terms: 4 + 7 = 11 -8a = 11 Divide each side by '-8'. a = -1.375 Simplifying a = -1.375
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