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Simplifying 3a + -5 = 10(7a + 4) + 8 Reorder the terms: -5 + 3a = 10(7a + 4) + 8 Reorder the terms: -5 + 3a = 10(4 + 7a) + 8 -5 + 3a = (4 * 10 + 7a * 10) + 8 -5 + 3a = (40 + 70a) + 8 Reorder the terms: -5 + 3a = 40 + 8 + 70a Combine like terms: 40 + 8 = 48 -5 + 3a = 48 + 70a Solving -5 + 3a = 48 + 70a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-70a' to each side of the equation. -5 + 3a + -70a = 48 + 70a + -70a Combine like terms: 3a + -70a = -67a -5 + -67a = 48 + 70a + -70a Combine like terms: 70a + -70a = 0 -5 + -67a = 48 + 0 -5 + -67a = 48 Add '5' to each side of the equation. -5 + 5 + -67a = 48 + 5 Combine like terms: -5 + 5 = 0 0 + -67a = 48 + 5 -67a = 48 + 5 Combine like terms: 48 + 5 = 53 -67a = 53 Divide each side by '-67'. a = -0.7910447761 Simplifying a = -0.7910447761
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