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Simplifying 4(t + -5) + 2 = 3a + -2 Reorder the terms: 4(-5 + t) + 2 = 3a + -2 (-5 * 4 + t * 4) + 2 = 3a + -2 (-20 + 4t) + 2 = 3a + -2 Reorder the terms: -20 + 2 + 4t = 3a + -2 Combine like terms: -20 + 2 = -18 -18 + 4t = 3a + -2 Reorder the terms: -18 + 4t = -2 + 3a Solving -18 + 4t = -2 + 3a Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 4t = -2 + 18 + 3a Combine like terms: -18 + 18 = 0 0 + 4t = -2 + 18 + 3a 4t = -2 + 18 + 3a Combine like terms: -2 + 18 = 16 4t = 16 + 3a Divide each side by '4'. t = 4 + 0.75a Simplifying t = 4 + 0.75a
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