3(r-5)=8(z+5)-10

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Solution for 3(r-5)=8(z+5)-10 equation:


Simplifying
3(r + -5) = 8(z + 5) + -10

Reorder the terms:
3(-5 + r) = 8(z + 5) + -10
(-5 * 3 + r * 3) = 8(z + 5) + -10
(-15 + 3r) = 8(z + 5) + -10

Reorder the terms:
-15 + 3r = 8(5 + z) + -10
-15 + 3r = (5 * 8 + z * 8) + -10
-15 + 3r = (40 + 8z) + -10

Reorder the terms:
-15 + 3r = 40 + -10 + 8z

Combine like terms: 40 + -10 = 30
-15 + 3r = 30 + 8z

Solving
-15 + 3r = 30 + 8z

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '15' to each side of the equation.
-15 + 15 + 3r = 30 + 15 + 8z

Combine like terms: -15 + 15 = 0
0 + 3r = 30 + 15 + 8z
3r = 30 + 15 + 8z

Combine like terms: 30 + 15 = 45
3r = 45 + 8z

Divide each side by '3'.
r = 15 + 2.666666667z

Simplifying
r = 15 + 2.666666667z

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