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Simplifying 58 + -5 = 3(a + 1) + 14a + 5 Combine like terms: 58 + -5 = 53 53 = 3(a + 1) + 14a + 5 Reorder the terms: 53 = 3(1 + a) + 14a + 5 53 = (1 * 3 + a * 3) + 14a + 5 53 = (3 + 3a) + 14a + 5 Reorder the terms: 53 = 3 + 5 + 3a + 14a Combine like terms: 3 + 5 = 8 53 = 8 + 3a + 14a Combine like terms: 3a + 14a = 17a 53 = 8 + 17a Solving 53 = 8 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. 53 + -17a = 8 + 17a + -17a Combine like terms: 17a + -17a = 0 53 + -17a = 8 + 0 53 + -17a = 8 Add '-53' to each side of the equation. 53 + -53 + -17a = 8 + -53 Combine like terms: 53 + -53 = 0 0 + -17a = 8 + -53 -17a = 8 + -53 Combine like terms: 8 + -53 = -45 -17a = -45 Divide each side by '-17'. a = 2.647058824 Simplifying a = 2.647058824
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