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Simplifying 4t + -6 = 5(t + 2) Reorder the terms: -6 + 4t = 5(t + 2) Reorder the terms: -6 + 4t = 5(2 + t) -6 + 4t = (2 * 5 + t * 5) -6 + 4t = (10 + 5t) Solving -6 + 4t = 10 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -6 + 4t + -5t = 10 + 5t + -5t Combine like terms: 4t + -5t = -1t -6 + -1t = 10 + 5t + -5t Combine like terms: 5t + -5t = 0 -6 + -1t = 10 + 0 -6 + -1t = 10 Add '6' to each side of the equation. -6 + 6 + -1t = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -1t = 10 + 6 -1t = 10 + 6 Combine like terms: 10 + 6 = 16 -1t = 16 Divide each side by '-1'. t = -16 Simplifying t = -16
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